Analytical Solution of the Ideal Model of Chromatography for a Bi-Langmuir Adsorption Isotherm

2013 ◽  
Vol 85 (18) ◽  
pp. 8552-8558 ◽  
Author(s):  
Fabrice Gritti ◽  
Georges Guiochon
Keyword(s):  
Adsorption Isotherm ◽  
Analytical Solution ◽  
Langmuir Adsorption Isotherm ◽  
Ideal Model ◽  
Langmuir Adsorption ◽  
The Ideal

A further note on the measurement of the affinity of a dye (Azure A) for histological substrates

1965 ◽  
Vol s3-106 (76) ◽  
pp. 299-306
Author(s):  
D. J. GOLDSTEIN
Keyword(s):  
Adsorption Isotherm ◽  
Goblet Cell ◽  
Binding Sites ◽  
Langmuir Isotherm ◽  
Langmuir Adsorption Isotherm ◽  
Intestinal Epithelial ◽  
Langmuir Adsorption ◽  
Azure A ◽  
First Approximation ◽  
The Ideal

If two histological sections, of thickness nµ and 2nµ, and having the same apparent intensity of staining, are at equilibrium with dyebaths of concentration B1 and B2 respectively, the affinity of the histological substrate for the dye is, under denned conditions, given by the expression ΔF° = - RT In I/B, where B is either (i) B2 if the thinner section is stained to saturation, or (ii) B1 if B1 = 3B2. The affinity tends to be greater when measured in a weaker dyebath, as implied in method (ii). Evidence is presented suggesting that the uptake of the basic dye Azure A by pancreatic basal chromidial substance, goblet cell mucin and intestinal epithelial cytoplasm follows a Langmuir adsorption isotherm to a first approximation, in that, at low dyebath concentrations, the uptake of dye is proportional to the concentration of dyebath with which the substrate is in equilibrium, while in strong dyebaths the uptake approaches a plateau. A deviation from the ideal Langmuir isotherm in dyebaths of moderate concentration, observed in epithelial cytoplasm and to a lesser extent in pancreatic basal chromidial substance, may have been due to interaction between neighbouring dye-binding sites, or to the presence in a single area of sites with different affinities for the dye.

scholarly journals Diffusion of calcium ions in retinal rods. A theoretical calculation.

1981 ◽  
Vol 77 (4) ◽  
pp. 475-487 ◽  
Author(s):  
S McLaughlin ◽  
J Brown
Keyword(s):  
Diffusion Coefficient ◽  
Adsorption Isotherm ◽  
Calcium Ions ◽  
Outer Segment ◽  
Effective Diffusion ◽  
Langmuir Adsorption Isotherm ◽  
Diffuse Double Layer ◽  
Langmuir Adsorption ◽  
Retinal Rods ◽  
Disk Membrane

The Fick diffusion equation is combined with the Langmuir adsorption isotherm and the relevant equations from the Gouy-Chapman theory of the electrical diffuse double layer to demonstrate that the effective diffusion coefficient of calcium ions, both in the cytoplasm of the rod outer segment and within the aqueous space bounded by the disk membrane, should be reduced by a factor of 10-100 because these ions adsorb to phospholipids present in the disk membrane.

Adsorption from solution: An experiment to illustrate the Langmuir adsorption isotherm

1988 ◽  
Vol 65 (9) ◽  
pp. 815 ◽  
Author(s):  
David G. Duff ◽  
Sheina M. C. Ross ◽  
D. Huw Vaughan
Keyword(s):  
Adsorption Isotherm ◽  
Langmuir Adsorption Isotherm ◽  
Langmuir Adsorption ◽  
Adsorption From Solution

THE SORPTION OF ACIDS BY WOOL

1949 ◽  
Vol 27b (12) ◽  
pp. 879-889 ◽  
Author(s):  
R. Donovan ◽  
P. Larose
Keyword(s):  
Hydrochloric Acid ◽  
Adsorption Isotherm ◽  
Sulphuric Acid ◽  
Sodium Sulphate ◽  
Langmuir Adsorption Isotherm ◽  
Langmuir Equation ◽  
Recent Application ◽  
Satisfactory Explanation ◽  
Isotherm Equation ◽  
Langmuir Adsorption

The amount of acid sorbed by wool from solutions of sulphuric acid of four different strengths (namely, 0.0505, 0.0339, 0.0182, and 0.0101 molar) and containing sodium sulphate in amounts varying up to 0.16 molar has been determined. It has been found that the presence of the salt has little effect on the quantity of acid sorbed within those limits. The results are analyzed in the light of the theory of Gilbert and Rideal but this theory fails to give a satisfactory explanation of the results obtained. It is possible, however, to explain the results of the authors' experiments on the basis of the recent application of the Donnan equilibrium by Peters and Speakman. The Langmuir adsorption isotherm equation has been applied to data on the absorption of hydrochloric acid and of sulphuric acid by wool. The data appear to fit the Langmuir equation and give, for the maximum combining capacity, values that agree well with those estimated in other ways.

Adsorption Characteristic Research of Sediments of Lake Baiyangdian

2014 ◽  
Vol 511-512 ◽  
pp. 55-58
Author(s):  
Zhe Qin ◽  
Qian Wang ◽  
Zheng Liu
Keyword(s):  
Adsorption Isotherm ◽  
Nitrogen Adsorption ◽  
Ammonia Nitrogen ◽  
Langmuir Adsorption Isotherm ◽  
Adsorption Characteristic ◽  
Langmuir Adsorption ◽  
Lake Baiyangdian ◽  
Object Of Study ◽  
Total Maximum ◽  
Adsorption Quantity

This paper regarded the sediments of Lake Baiyangdian as the object of study, researched and analyzed ammonia nitrogen adsorption characteristics of sediment samples. The results showed that: the sediments adsorption to ammonia nitrogen reached a state of equilibrium after 2.5h, The ammonia nitrogen adsorption rate was maximum in 0~10min. Sediment adsorption of ammonia nitrogen was higher as ammonia nitrogen liquid balance concentration increased. The adsorption isotherm curve of ammonia nitreogen can be fitted well by the Langmuir adsorption isotherm model. The total maximum adsorption quantity of ammonia nitrogen by the sediments of Lake Baiyangdian is between 54.12mg/kg to 240.12mg/kg.

Analytical solution for the ideal model of chromatography in the case of a Langmuir isotherm

1988 ◽  
Vol 60 (21) ◽  
pp. 2364-2374 ◽  
Author(s):  
Sadroddin. Golshan-Shirazi ◽  
Georges. Guiochon
Keyword(s):  
Analytical Solution ◽  
Langmuir Isotherm ◽  
Ideal Model ◽  
The Ideal

Hyperhydrophilic three-dimensional crosslinked beads as an effective drug carrier in acidic medium: adsorption isotherm and kinetics appraisal

2015 ◽  
Vol 39 (5) ◽  
pp. 3835-3844 ◽  
Author(s):  
Sachin Mane ◽  
Surendra Ponrathnam ◽  
Nayaku Chavan
Keyword(s):  
Adsorption Isotherm ◽  
Acidic Medium ◽  
Drug Carrier ◽  
Drug Loading ◽  
Three Dimensional ◽  
Langmuir Adsorption Isotherm ◽  
Effective Drug ◽  
Crosslinked Polymers ◽  
Langmuir Adsorption

Langmuir adsorption isotherm demonstrates monolayer drug loading with hyperhydrophilic three-dimensional crosslinked polymers. Furthermore, the pseudo order kinetics were also evaluated.

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